Search a number
-
+
28621440 = 273254969
BaseRepresentation
bin110110100101…
…1101010000000
31222212010020100
41231023222000
524311341230
62501242400
7465164301
oct155135200
958763210
1028621440
1115179791
129703400
135c11683
143b307a8
1527a5660
hex1b4ba80

28621440 has 96 divisors (see below), whose sum is σ = 98853300. Its totient is φ = 7630848.

The previous prime is 28621427. The next prime is 28621447. The reversal of 28621440 is 4412682.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 1498176 = 5208^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (28621447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3276 + ... + 8244.

Almost surely, 228621440 is an apocalyptic number.

28621440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49426650).

28621440 is an abundant number, since it is smaller than the sum of its proper divisors (70231860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28621440 is a wasteful number, since it uses less digits than its factorization.

28621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28621440 is about 5349.9009336622. The cubic root of 28621440 is about 305.8889767680. Note that the first 3 decimals are identical.

The spelling of 28621440 in words is "twenty-eight million, six hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 4969 5760 9938 14907 19876 24845 29814 39752 44721 49690 59628 74535 79504 89442 99380 119256 149070 159008 178884 198760 223605 238512 298140 318016 357768 397520 447210 477024 596280 636032 715536 795040 894420 954048 1192560 1431072 1590080 1788840 1908096 2385120 2862144 3180160 3577680 4770240 5724288 7155360 9540480 14310720 28621440